What kind of sequence is this? 726, 726, 726, 726, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: 726, 726, 726, 726, ... Are the consecutive differences in the sequence equal? 726 - 726 = 0, 726 - 726 = 0, 726 - 726 = 0. Yes, the consecutive differences in the sequence are equal and all are zero.Check Ratios Between Terms: Let's check whether the ratios between consecutive terms are equal. Given sequence: 726, 726, 726, 726, ... Are the ratios between consecutive terms in the sequence equal? Since all terms are the same, the ratio of any term to the previous term is 726 / 726 = 1. Yes, the sequence has a common ratio of 1.Sequence Type: Arithmetic sequence: Consecutive terms have a common difference. Geometric sequence: Consecutive terms have a common ratio. 726, 726, 726, 726, ... What type of sequence is this? The sequence has a common difference of 0 and a common ratio of 1. It satisfies the conditions for both an arithmetic and a geometric sequence.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What kind of sequence is this? $\newline$ $726, 726, 726, 726, \ldots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

View step-by-step help

Home

Math Problems

Algebra 2

Classify formulas and sequences

Full solution

Q. What kind of sequence is this?

\newline

726, 726, 726, 726, \ldots

\newline

Choices:

\newline

(A) arithmetic

\newline

(B) geometric

\newline

\newline

(D) neither

Verify Consecutive Differences: Let's verify if the differences between consecutive terms are uniform. Given sequence: $726, 726, 726, 726, \ldots$ $\newline$ Are the consecutive differences in the sequence equal? $\newline$ $726 - 726 = 0$ , $726 - 726 = 0$ , $726 - 726 = 0$ . $\newline$ Yes, the consecutive differences in the sequence are equal and all are zero.
Check Ratios Between Terms: Let's check whether the ratios between consecutive terms are equal. Given sequence: $726, 726, 726, 726, \ldots$ $\newline$ Are the ratios between consecutive terms in the sequence equal? $\newline$ Since all terms are the same, the ratio of any term to the previous term is $726 / 726 = 1$ . $\newline$ Yes, the sequence has a common ratio of $1$ .
Sequence Type: Arithmetic sequence: Consecutive terms have a common difference. $\newline$ Geometric sequence: Consecutive terms have a common ratio. $\newline$ $726, 726, 726, 726, \ldots$ What type of sequence is this? $\newline$ The sequence has a common difference of $0$ and a common ratio of $1$ . It satisfies the conditions for both an arithmetic and a geometric sequence.